Events
Department of Mathematics and Statistics
Texas Tech University
A commutative noetherian ring \(R\) is regular if every finitely
generated \(R\)-module has finite projective dimension. In a paper from
2009, Iacob and Iyengar characterize regularity of \(R\) in terms of
properties of (unbounded) \(R\)-complexes. Their proofs build on results
of Jorgensen, Krause, and Neeman on compact generation of the
homotopy categories of complexes of projective modules and complexes
of injective modules.
In the commutative case
these results can be reproved with standard homological methods from
local algebra. I will illustrate how this is done by proving that the
following conditions are equivalent for a commutative noetherian ring \(R\):
(1) \(R\) is regular.
(2) Every complex of finitely generated projective \(R\)-modules is
semi-projective.
(3) Every complex of projective \(R\)-modules is
semi-projective.
(4) Every acyclic complex of projective \(R\)-modules is contractible.
There are similar characterizations in terms of complexes of flat
modules and complexes of injective modules.
Follow the talk via this Zoom link
Meeting ID: 913 0074 4693
Passcode: 586188
In their seminal work, Mathai and Quillen explained how free fermion theories can be used to construct cocycle representatives of Thom classes in de Rham cohomology. After reviewing this idea, I will describe several avenues of generalization that lead to cocycle representatives of Thom classes in twisted equivariant KR-theory and (conjecturally) in equivariant elliptic cohomology. I will further describe nice properties enjoyed by these cocycle representatives, e.g., compatibility with (twisted) power operations. This is joint work with combinations of Tobi Barthel, Millie Deaton, Meng Guo, Yigal Kamel, Hui Langwen, Kiran Luecke, Alex Pacun, and Nat Stapleton.  | Wednesday
Nov. 29
7 PM
MA 108
|
| Mathematics Education
Math Circle
Miraj Samarakkody
Department of Mathematics and Statistics, Texas Tech University
|
Math Circle Fall Poster
The AWM Raiders is hosting a series of "Meet the Professors" meetings throughout November, 2023. The professors from our department share their specialized knowledge of their research for a maximum of 7-10 minutes. The discussions range from Mathematical Physics to Biomath. This virtual event provides an opportunity for current and prospective students to know more about the ongoing research in the department from the professors themselves. Additionally, these events may foster collaboration between professors and graduate students.
November 28th's schedule pdf
The Meet the Professors meeting series is sponsored by the Raiders Chapter of AWM graduate student group and may be attended virtually at
3 PM (UT-6) via this Zoom link.
Meeting ID: 953 5112 5986
Passcode: AWM
Sponsored by the Raiders Chapter of the Association for Women in Mathematics
Waffles!
This is the final AWM Raiders "Meet the Professors" series this Fall, 2023. The professors from our department share their specialized knowledge of their research for a maximum of 7-10 minutes. The discussions range from Statistics to Mathematical Physics to Biomath. This virtual event provides an opportunity for current and prospective students to know more about the ongoing research in the department from the professors themselves. Additionally, these events may foster collaboration between professors and graduate students.
Today's, December 1st, schedule pdf
The Meet the Professors meeting series is sponsored by the Raiders Chapter of AWM graduate student group and may be attended virtually at
3 PM (UT-6) via this Zoom link.
Meeting ID: 953 5112 5986
Passcode: AWM